Properties of the Number 67741

Sixty-Seven Thousand Seven Hundred Forty-One

Basics

Value: 67740 → 67741 → 67742

Parity: odd

Prime: Yes

Previous Prime: 67733

Next Prime: 67751

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 67741

Divisors: 1, 67741

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000100010011101

Octal: 204235

Duodecimal: 33251

Hexadecimal: 1089d

Square: 4588843081

Square Root: 260.2710126003278

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Primes of the form 2·n² + 54·n + 25. A217497

Pisot sequence T(7,10), a(n) = floor(a(n-1)²/a(n-2)). A20752

Indices of primes in sequence defined by A(0) = 89, A(n) = 10·A(n-1) - 81 for n > 0. A101057

Initial member of 6 consecutive primes a, b, c, d, e, f such that both (f + a)/(d - c) and (e + b)/(d - c) are prime. A293619

Square array read by antidiagonals in ascending order where T(n,k), n>1 and k>=1, is the least prime p, written in base n, starting a run of exactly k consecutive primes with non increasing sum of digits. A376893

Integers y such that for some integer·we have uphi(x) = uphi(y) = x-y, where uphi(n) = A047994(n) is the unitary totient function: If n = Product p_i^e_i, uphi(n) = Product (p_i^e_i - 1). A67741

Number of nX4 0..1 arrays with every element both equal and not equal to some elements at offset (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero. A278173